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Finding the Fourth Proportional to 1,739.97, 2,401.11 and 993.92

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Solution

The fourth proportional to 1,739.97, 2,401.11 and 993.92 is: 1,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.97 : 2,401.11 = 993.92 : x
  2. Step 2: Convert to fraction form
    1,739.97/2,401.11 = 993.92/x
  3. Step 3: Cross multiply
    1,739.97x = 2,401.11 × 993.92
  4. Step 4: Simplify right side
    1,739.97x = 2,386,499.25
  5. Step 5: Solve for x
    x = 2,386,499.25/1,739.97
  6. Step 6: Final answer
    x = 1,371.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.